Calculus 2 Question

How do you take a set of numbers you want to add up and show that in Riemann Sum?

 

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Riemann Sums are used to find the area under a curve.

\(\LARGE \int _a^b \large f(x)dx = \lim _{n \to \infty} \LARGE \sum \limits_{i=0}^{n-1} \large f(x_{i}) \Delta x. \)

Here’s a well-explained introduction for this concept:

https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-2/a/left-and-right-riemann-sums

 

Here’s a much more comprehensive introduction:

https://mathinsight.org/calculating_area_under_curve_riemann_sums

This site also compares and contrasts Riemann Sums to Forward Euler algorithms.

 

 

GA